QUESTION 8
a) Define the following:
i) Vibration
[2 Marks]
ii) Vibration dumping
[2 Marks]
b) State two (2) effects of vibrations on machines.
[2 Marks]
c) For the spring-mass system shown in Figure Q8, if the cylinder is displaced 100 mm downward from its equilibrium position and released from rest, determine:
i) The static deflection \( \boldsymbol{\delta}_{\boldsymbol{s}} \),
[3 Marks]
ii) The system period \( \boldsymbol{T} \)
[4 Marks]
d) The maximum velocity \( \boldsymbol{v}_{\text {max }} \) which result if the cylinder is displaced 100 mm downward from its equilibrium position and released from rest.
[4 Marks]
Figure Q8
e) An engine of mass 500 kg is mounted on an elastic foundation of equivalent stiffness \( 7 \times 10^{5} \mathrm{N} / \mathrm{m} \). Determine the natural frequency of the system.
[3 Marks]
Total: [20 Marks]